%5E4-simplify.jpeg "(x^4)^4 Simplify")
Simplifying (x^4)^4
In mathematics, simplifying expressions often involves applying rules of exponents. One such rule states that when raising a power to another power, you multiply the exponents. This principle applies to the expression (x^4)^4.
Understanding the Rule
The rule for simplifying powers of powers is:
(a^m)^n = a^(m*n)
This means that when raising a base (a) to a power (m) and then raising the result to another power (n), you can simplify by multiplying the exponents (m and n).
Applying the Rule to (x^4)^4
In our expression (x^4)^4, we have:
- Base: x
- First Exponent: 4
- Second Exponent: 4
Applying the rule, we get:
(x^4)^4 = x^(4 * 4) = x^16
Therefore, simplifying (x^4)^4 results in x^16.
In Conclusion
The expression (x^4)^4 can be simplified to x^16 by applying the rule of exponents for powers of powers. Remember, this rule is a valuable tool for simplifying complex expressions and making them easier to work with.